For John Lawler B 1807 +/- 5 yrs, Co. Laois, with a father forenamed Pat(rick), I found 1 rcd, 1812. This date would have made him 15 yrs old when he committed the offense. Therefore, I doubt if this rcd is the right one.
For Pat(rick) Lawlor M 1803 +/- 4 yrs, Co. Laois, I found 4 rcds: 1799, 1800, 1806, and 1807.
For Julia Byrne M ditto, I found 0 rcds.
It looks like B/M rcds for this family didn't survive.